SOCCIO ARCHETYPES OF WISDOM
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Last printed 3/14/2023 11:35:00 AM
This formal quality belongs to the triangle, not the
geometer. The geometer is describing a public (objective)
The form Euclidean triangle is not lines on paper or a
blackboard, it is not a visual image in a person s mind
though it is grasped or seen with the mind. All
representations (sometimes called instances ) of the form
Euclidean triangle participate in this form. They are
representations or copies; they are enough like the form itself
that they remind us of the real thing. But sooner or later,
these copies change: They decay or fade.
Yet every physical manifestation of the form Euclidean
triangle varies from this: Lines produced by the highest-
quality laser printer are, in fact, bits or points of matter (ink);
the smoothest paper, under microscopic scrutiny, contains
pits and ridges and fibers; and so on. Although we may not be
able to perceive the differences and imperfections among